(999)³

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Solution

(999)^3
= (1000 - 1)^3

(now we can solve by the identity (a-b)^3=a^3 - 3a^2b + 3ab^2 - b^3 )

= (1000)^3 + 3(1000)^2 * (-1) + 31000(-1)^2 + (-1)^3
= 1000000000 - 3000000 + 3000 - 1
= 997002999.

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